diff options
author | 1999-08-19 08:17:17 +0000 | |
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committer | 1999-08-19 08:17:17 +0000 | |
commit | 10f4e87cca4f83700c9b6a8acffc081de66dc164 (patch) | |
tree | 71d963bff3495ecd124abc9466890f83d42577f0 /kernel/term.mli | |
parent | 2178b546a941803548bd2699a860086ad8f5f1d5 (diff) |
mise en place programmation literaire (generation de doc/coq.tex)
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@17 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'kernel/term.mli')
-rw-r--r-- | kernel/term.mli | 432 |
1 files changed, 221 insertions, 211 deletions
diff --git a/kernel/term.mli b/kernel/term.mli index 1a3f29c73..c484a68d5 100644 --- a/kernel/term.mli +++ b/kernel/term.mli @@ -1,12 +1,13 @@ (* $Id$ *) +(*i*) open Names open Generic +(*i*) -(* The Type of Constructions Terms. *) - -(* Coq abstract syntax with deBruijn variables; 'a is the type of sorts *) +(*s The operators of the Calculus of Inductive Constructions. + ['a] is the type of sorts. *) type 'a oper = (* DOP0 *) @@ -29,6 +30,8 @@ type 'a oper = and case_info = (section_path * int) option +(*s The sorts of CCI. *) + type contents = Pos | Null val str_of_contents : contents -> string @@ -41,6 +44,11 @@ type sorts = val mk_Set : sorts val mk_Prop : sorts +(*s The type [constr] of the terms of CCI + is obtained by instanciating the generic terms (type [term], + see \ref{generic_terms}) on the above operators, themselves instanciated + on the above sorts. *) + type constr = sorts oper term type 'a judge = { body : constr; typ : 'a } @@ -51,15 +59,12 @@ type term_judgment = type_judgment judge type conv_pb = CONV | CONV_LEQ | CONV_X | CONV_X_LEQ -(****************************************************************************) -(* Functions for dealing with constr terms *) -(****************************************************************************) - -(* The following functions are intended to simplify and to uniform the - manipulation of terms. Some of these functions may be overlapped with - previous ones. *) +(*s Functions for dealing with constr terms. + The following functions are intended to simplify and to uniform the + manipulation of terms. Some of these functions may be overlapped with + previous ones. *) -(* Concrete type for making pattern-matching *) +(* Concrete type for making pattern-matching. *) type kindOfTerm = | IsRel of int @@ -82,79 +87,78 @@ type kindOfTerm = | IsCoFix of int * constr array * name list * constr array (* Discriminates which kind of term is it. - Note that there is no cases for [[DLAM] and [DLAMV]. These terms do not - make sense alone, but they must be preceeded by the application of - an operator. -*) + Note that there is no cases for [DLAM] and [DLAMV]. These terms do not + make sense alone, but they must be preceeded by the application of + an operator. *) val kind_of_term : constr -> kindOfTerm -(*********************) -(* Term constructors *) -(*********************) + +(*s Term constructors. *) (* Constructs a DeBrujin index *) -val mkRel : int -> constr +val mkRel : int -> constr (* Constructs an existential variable named "?" *) -val mkExistential : constr +val mkExistential : constr (* Constructs an existential variable named "?n" *) -val mkMeta : int -> constr +val mkMeta : int -> constr (* Constructs a Variable *) -val mkVar : identifier -> constr +val mkVar : identifier -> constr -(* Construct an XTRA term (XTRA is an extra slot for whatever you want) *) -val mkXtra : string -> Coqast.t list -> constr +(* Construct an [XTRA] term. *) +val mkXtra : string -> Coqast.t list -> constr (* Construct a type *) -val mkSort : sorts -> constr -val mkProp : constr -val mkSet : constr -val mkType : Univ.universe -> constr +val mkSort : sorts -> constr +val mkProp : constr +val mkSet : constr +val mkType : Univ.universe -> constr val prop : sorts val spec : sorts val types : sorts val type_0 : sorts val type_1 : sorts -(* Construct an implicit (see implicit arguments in the RefMan) *) -(* Used for extraction *) -val mkImplicit : constr -val implicit_sort : sorts +(* Construct an implicit (see implicit arguments in the RefMan). + Used for extraction *) +val mkImplicit : constr +val implicit_sort : sorts -(* Constructs the term t1::t2, i.e. the term t1 casted with the type t2 *) -(* (that means t2 is declared as the type of t1) *) -val mkCast : constr -> constr -> constr +(* Constructs the term $t_1::t2$, i.e. the term $t_1$ casted with the + type $t_2$ (that means t2 is declared as the type of t1). *) +val mkCast : constr -> constr -> constr -(* Constructs the product (x:t1)t2 -- x may be anonymous *) -val mkProd : name -> constr -> constr -> constr +(* Constructs the product $(x:t_1)t_2$. $x$ may be anonymous. *) +val mkProd : name -> constr -> constr -> constr -(* non-dependant product t1 -> t2 *) +(* non-dependant product $t_1 \rightarrow t_2$ *) val mkArrow : constr -> constr -> constr (* named product *) val mkNamedProd : identifier -> constr -> constr -> constr -(* Constructs the abstraction [x:t1]t2 *) -val mkLambda : name -> constr -> constr -> constr +(* Constructs the abstraction $[x:t_1]t_2$ *) +val mkLambda : name -> constr -> constr -> constr val mkNamedLambda : identifier -> constr -> constr -> constr -(* If a = [| t1; ...; tn |], constructs the application (t1 ... tn) *) -val mkAppL : constr array -> constr -val mkAppList : constr list -> constr +(* If $a = [| t_1; \dots; t_n |]$, constructs the application + $(t_1~\dots~t_n)$. *) +val mkAppL : constr array -> constr +val mkAppList : constr list -> constr (* Constructs a constant *) (* The array of terms correspond to the variables introduced in the section *) -val mkConst : section_path -> constr array -> constr +val mkConst : section_path -> constr array -> constr (* Constructs an abstract object *) -val mkAbst : section_path -> constr array -> constr +val mkAbst : section_path -> constr array -> constr (* Constructs the ith (co)inductive type of the block named sp *) (* The array of terms correspond to the variables introduced in the section *) -val mkMutInd : section_path -> int -> constr array -> constr +val mkMutInd : section_path -> int -> constr array -> constr (* Constructs the jth constructor of the ith (co)inductive type of the block named sp. The array of terms correspond to the variables @@ -162,157 +166,156 @@ val mkMutInd : section_path -> int -> constr array -> constr val mkMutConstruct : section_path -> int -> int -> constr array -> constr (* Constructs the term <p>Case c of c1 | c2 .. | cn end *) -val mkMutCase : case_info -> constr -> constr -> constr list -> constr -val mkMutCaseA : case_info -> constr -> constr -> constr array -> constr +val mkMutCase : case_info -> constr -> constr -> constr list -> constr +val mkMutCaseA : case_info -> constr -> constr -> constr array -> constr -(* If recindxs = [|i1,...in|] - typarray = [|t1,...tn|] - funnames = [f1,.....fn] - bodies = [b1,.....bn] - then +(* If [recindxs = [|i1,...in|]] + [typarray = [|t1,...tn|]] + [funnames = [f1,.....fn]] + [bodies = [b1,.....bn]] + then - mkFix recindxs i typarray funnames bodies + [ mkFix recindxs i typarray funnames bodies] - constructs the ith function of the block + constructs the $i$th function of the block - Fixpoint f1 [ctx1] = b1 - with f2 [ctx2] = b2 - ... - with fn [ctxn] = bn. + [Fixpoint f1 [ctx1] = b1 + with f2 [ctx2] = b2 + ... + with fn [ctxn] = bn.] - where the lenght of the jth context is ij. + where the lenght of the $j$th context is $ij$. *) -val mkFix : int array -> int -> type_judgment array -> name list - -> constr array -> constr +val mkFix : int array -> int -> type_judgment array -> name list + -> constr array -> constr (* Similarly, but we assume the body already constructed *) -val mkFixDlam : int array -> int -> type_judgment array - -> constr array -> constr +val mkFixDlam : int array -> int -> type_judgment array + -> constr array -> constr -(* If typarray = [|t1,...tn|] - funnames = [f1,.....fn] - bodies = [b1,.....bn] +(* If [typarray = [|t1,...tn|]] + [funnames = [f1,.....fn]] + [bodies = [b1,.....bn]] then - mkCoFix i typsarray funnames bodies + [mkCoFix i typsarray funnames bodies] constructs the ith function of the block - CoFixpoint f1 = b1 - with f2 = b2 - ... - with fn = bn. - -*) -val mkCoFix : int -> type_judgment array -> name list - -> constr array -> constr + [CoFixpoint f1 = b1 + with f2 = b2 + ... + with fn = bn.] + *) +val mkCoFix : int -> type_judgment array -> name list + -> constr array -> constr (* Similarly, but we assume the body already constructed *) -val mkCoFixDlam : int -> type_judgment array -> constr array -> constr +val mkCoFixDlam : int -> type_judgment array -> constr array -> constr -(********************) -(* Term destructors *) -(********************) -(* Destructor operations : partial functions - Raise invalid_arg "dest*" if the const has not the expected form *) +(*s Term destructors. + Destructor operations are partial functions and + raise [invalid_arg "dest*"] if the term has not the expected form. *) (* Destructs a DeBrujin index *) -val destRel : constr -> int +val destRel : constr -> int (* Destructs an existential variable *) -val destMeta : constr -> int +val destMeta : constr -> int val isMETA : constr -> bool (* Destructs a variable *) -val destVar : constr -> identifier +val destVar : constr -> identifier (* Destructs an XTRA *) -val destXtra : constr -> string * Coqast.t list +val destXtra : constr -> string * Coqast.t list -(* Destructs a sort *) -val destSort : constr -> sorts +(* Destructs a sort. [is_Prop] recognizes the sort \textsf{Prop}, whether + [isprop] recognizes both \textsf{Prop} and \textsf{Set}. *) +val destSort : constr -> sorts val contents_of_kind : constr -> contents -val is_Prop : constr -> bool (* true for Prop *) -val is_Set : constr -> bool (* true for Set *) -val isprop : constr -> bool (* true for DOP0 (Sort (Prop _)) *) -val is_Type : constr -> bool (* true for DOP0 (Sort (Type _)) *) -val iskind : constr -> bool (* true for Prop, Set and Type(_) *) +val is_Prop : constr -> bool +val is_Set : constr -> bool +val isprop : constr -> bool +val is_Type : constr -> bool +val iskind : constr -> bool -val isType : sorts -> bool (* true for Type(_) *) -val is_small : sorts -> bool (* true for Prop and Set *) +val isType : sorts -> bool +val is_small : sorts -> bool (* true for \textsf{Prop} and \textsf{Set} *) (* Destructs a casted term *) -val destCast : constr -> constr * constr +val destCast : constr -> constr * constr val cast_type : constr -> constr (* 2nd proj *) val cast_term : constr -> constr (* 1st proj *) val isCast : constr -> bool -(* removes recursively the casts around a term *) -(* strip_outer_cast (Cast (Cast ... (Cast c, t) ... )) is c *) + +(* Removes recursively the casts around a term i.e. + [strip_outer_cast] (Cast (Cast ... (Cast c, t) ... ))] is [c]. *) val strip_outer_cast : constr -> constr -(* Destructs the product (x:t1)t2 *) -val destProd : constr -> name * constr * constr -val hd_of_prod : constr -> constr +(* Destructs the product $(x:t_1)t_2$ *) +val destProd : constr -> name * constr * constr +val hd_of_prod : constr -> constr val hd_is_constructor : constr -> bool -(* Destructs the abstraction [x:t1]t2 *) -val destLambda : constr -> name * constr * constr +(* Destructs the abstraction $[x:t_1]t_2$ *) +val destLambda : constr -> name * constr * constr (* Destructs an application *) -val destAppL : constr -> constr array -val isAppL : constr -> bool -val hd_app : constr -> constr -val args_app : constr -> constr array +val destAppL : constr -> constr array +val isAppL : constr -> bool +val hd_app : constr -> constr +val args_app : constr -> constr array (* Destructs a constant *) -val destConst : constr -> section_path * constr array +val destConst : constr -> section_path * constr array val path_of_const : constr -> section_path val args_of_const : constr -> constr array (* Destrucy an abstract term *) -val destAbst : constr -> section_path * constr array +val destAbst : constr -> section_path * constr array val path_of_abst : constr -> section_path val args_of_abst : constr -> constr array (* Destructs a (co)inductive type *) -val destMutInd : constr -> section_path * int * constr array -val op_of_mind : constr -> section_path * int -val args_of_mind : constr -> constr array -val ci_of_mind : constr -> case_info +val destMutInd : constr -> section_path * int * constr array +val op_of_mind : constr -> section_path * int +val args_of_mind : constr -> constr array +val ci_of_mind : constr -> case_info (* Destructs a constructor *) val destMutConstruct : constr -> section_path * int * int * constr array -val op_of_mconstr : constr -> (section_path * int) * int -val args_of_mconstr : constr -> constr array +val op_of_mconstr : constr -> (section_path * int) * int +val args_of_mconstr : constr -> constr array (* Destructs a term <p>Case c of lc1 | lc2 .. | lcn end *) -val destCase : constr -> case_info * constr * constr * constr array +val destCase : constr -> case_info * constr * constr * constr array (* Destructs the ith function of the block - Fixpoint f1 [ctx1] = b1 - with f2 [ctx2] = b2 - ... - with fn [ctxn] = bn. + [Fixpoint f1 [ctx1] = b1 + with f2 [ctx2] = b2 + ... + with fn [ctxn] = bn.] - where the lenght of the jth context is ij. + where the lenght of the $j$th context is $ij$. *) -val destGralFix : constr array -> constr array * Names.name list - * constr array -val destFix : constr -> int array * int * type_judgment array - * Names.name list * constr array -val destCoFix : constr -> int * type_judgment array * Names.name list - * constr array +val destGralFix : + constr array -> constr array * Names.name list * constr array +val destFix : constr -> + int array * int * type_judgment array * Names.name list * constr array + +val destCoFix : + constr -> int * type_judgment array * Names.name list * constr array (* Provisoire, le temps de maitriser les cast *) -val destUntypedFix : constr -> int array * int * constr array - * Names.name list * constr array -val destUntypedCoFix : constr -> int * constr array * Names.name list - * constr array +val destUntypedFix : + constr -> int array * int * constr array * Names.name list * constr array +val destUntypedCoFix : + constr -> int * constr array * Names.name list * constr array + -(***********************************) -(* Other term constructors *) -(***********************************) +(*s Other term constructors. *) val abs_implicit : constr -> constr val lambda_implicit : constr -> constr @@ -322,127 +325,136 @@ val applist : constr * constr list -> constr val applistc : constr -> constr list -> constr val appvect : constr * constr array -> constr val appvectc : constr -> constr array -> constr -(* prodn n ([x1:T1]..[xn:Tn]Gamma) b = (x1:T1)..(xn:Tn)b *) -val prodn : int -> (name * constr) list -> constr -> constr -(* lamn n ([x1:T1]..[xn:T]Gamma) b = [x1:T1]..[xn:Tn]b *) + +(* [prodn n l b] = $(x_1:T_1)..(x_n:T_n)b$ + where $l = [(x_1,T_1);\dots;(x_n,T_n);Gamma]$ *) +val prodn : int -> (name * constr) list -> constr -> constr + +(* [lamn n l b] = $[x_1:T_1]..[x_n:T_n]b$ + where $l = [(x_1,T_1);\dots;(x_n,T_n);Gamma]$ *) val lamn : int -> (name * constr) list -> constr -> constr -(* prod_it b [x1:T1;..xn:Tn] = (x1:T1)..(xn:Tn)b *) +(* [prod_it b l] = $(x_1:T_1)..(x_n:T_n)b$ + where $l = [x_1:T_1;..x_n:T_n]$ *) val prod_it : constr -> (name * constr) list -> constr -(* lam_it b [x1:T1;..xn:Tn] = [x1:T1]..[xn:Tn]b *) -val lam_it : constr -> (name * constr) list -> constr +(* [lam_it b l] = $[x_1:T_1]..[x_n:T_n]b$ + where $l = [x_1:T_1;..;x_n:T_n]$ *) +val lam_it : constr -> (name * constr) list -> constr -(* to_lambda n (x1:T1)...(xn:Tn)(xn+1:Tn+1)...(xn+j:Tn+j)T = - [x1:T1]...[xn:Tn](xn+1:Tn+1)...(xn+j:Tn+j)T *) +(* [to_lambda n l] + = $[x_1:T_1]...[x_n:T_n](x_{n+1}:T_{n+1})...(x_{n+j}:T_{n+j})T$ + where $l = (x_1:T_1)...(x_n:T_n)(x_{n+1}:T_{n+1})...(x_{n+j}:T_{n+j})T$ *) val to_lambda : int -> constr -> constr val to_prod : int -> constr -> constr -(*********************************) -(* Other term destructors *) -(*********************************) -(* Transforms a product term (x1:T1)..(xn:Tn)T into the pair - ([(xn,Tn);...;(x1,T1)],T), where T is not a product *) -val decompose_prod : constr -> (name*constr) list * constr +(*s Other term destructors. *) + +(* Transforms a product term $(x_1:T_1)..(x_n:T_n)T$ into the pair + $([(x_n,T_n);...;(x_1,T_1)],T)$, where $T$ is not a product. *) +val decompose_prod : constr -> (name*constr) list * constr -(* Transforms a lambda term [x1:T1]..[xn:Tn]T into the pair - ([(xn,Tn);...;(x1,T1)],T), where T is not a lambda *) -val decompose_lam : constr -> (name*constr) list * constr +(* Transforms a lambda term $[x_1:T_1]..[x_n:T_n]T$ into the pair + $([(x_n,T_n);...;(x_1,T_1)],T)$, where $T$ is not a lambda. *) +val decompose_lam : constr -> (name*constr) list * constr -(* Given a positive integer n, transforms a product term (x1:T1)..(xn:Tn)T - into the pair ([(xn,Tn);...;(x1,T1)],T) *) -val decompose_prod_n : int -> constr -> (name*constr) list * constr +(* Given a positive integer n, transforms a product term + $(x_1:T_1)..(x_n:T_n)T$ + into the pair $([(xn,Tn);...;(x1,T1)],T)$. *) +val decompose_prod_n : int -> constr -> (name*constr) list * constr -(* Given a positive integer n, transforms a lambda term [x1:T1]..[xn:Tn]T - into the pair ([(xn,Tn);...;(x1,T1)],T) *) -val decompose_lam_n : int -> constr -> (name*constr) list * constr +(* Given a positive integer $n$, transforms a lambda term + $[x_1:T_1]..[x_n:T_n]T$ into the pair $([(x_n,T_n);...;(x_1,T_1)],T)$ *) +val decompose_lam_n : int -> constr -> (name*constr) list * constr -(* (nb_lam [na1:T1]...[nan:Tan]c) where c is not an abstraction - * gives n (casts are ignored) *) +(* [nb_lam] $[x_1:T_1]...[x_n:T_n]c$ where $c$ is not an abstraction + gives $n$ (casts are ignored) *) val nb_lam : constr -> int -(* similar to nb_lam, but gives the number of products instead *) +(* similar to [nb_lam], but gives the number of products instead *) val nb_prod : constr -> int -(********************************************************************) -(* various utility functions for implementing terms with bindings *) -(********************************************************************) + +(*s Various utility functions for implementing terms with bindings. *) val extract_lifted : int * constr -> constr val insert_lifted : constr -> int * constr -(* l is a list of pairs (n:nat,x:constr), env is a stack of (na:name,T:constr) - push_and_lift adds a component to env and lifts l one step *) +(* If [l] is a list of pairs $(n:nat,x:constr)$, [env] is a stack of + $(na:name,T:constr)$, then + [push_and_lift (id,c) env l] adds a component [(id,c)] to [env] + and lifts [l] one step *) val push_and_lift : name * constr -> (name * constr) list -> (int * constr) list -> (name * constr) list * (int * constr) list -(* if T is not (x1:A1)(x2:A2)....(xn:An)T' then (push_and_liftl n env T l) - raises an error else it gives ([x1,A1 ; x2,A2 ; ... ; xn,An]@env,T',l') - where l' is l lifted n steps *) +(* if [T] is not $(x_1:A_1)(x_2:A_2)....(x_n:A_n)T'$ + then [(push_and_liftl n env T l)] + raises an error else it gives $([x1,A1 ; x2,A2 ; ... ; xn,An]@env,T',l')$ + where $l'$ is [l] lifted [n] steps *) val push_and_liftl : int -> (name * constr) list -> constr -> (int * constr) list -> (name * constr) list * constr * (int * constr) list -(* if T is not [x1:A1][x2:A2]....[xn:An]T' then (push_lam_and_liftl n env T l) - raises an error else it gives ([x1,A1 ; x2,A2 ; ... ; xn,An]@env,T',l') - where l' is l lifted n steps *) +(* if $T$ is not $[x_1:A_1][x_2:A_2]....[x_n:A_n]T'$ then + [(push_lam_and_liftl n env T l)] + raises an error else it gives $([x_1,A_1; x_2,A_2; ...; x_n,A_n]@env,T',l')$ + where $l'$ is [l] lifted [n] steps *) val push_lam_and_liftl : int -> (name * constr) list -> constr -> (int * constr) list -> (name * constr) list * constr * (int * constr) list -(* l is a list of pairs (n:nat,x:constr), tlenv is a stack of -(na:name,T:constr), B : constr, na : name -(prod_and_pop ((na,T)::tlenv) B l) gives (tlenv, (na:T)B, l') -where l' is l lifted down one step *) +(* If [l] is a list of pairs $(n:nat,x:constr)$, [tlenv] is a stack of + $(na:name,T:constr)$, [B] is a constr, [na] a name, then + [(prod_and_pop ((na,T)::tlenv) B l)] gives $(tlenv, (na:T)B, l')$ + where $l'$ is [l] lifted down one step *) val prod_and_pop : (name * constr) list -> constr -> (int * constr) list -> (name * constr) list * constr * (int * constr) list -(* recusively applies prod_and_pop : -if env = [na1:T1 ; na2:T2 ; ... ; nan:Tn]@tlenv -then -(prod_and_popl n env T l) gives (tlenv,(nan:Tn)...(na1:Ta1)T,l') where -l' is l lifted down n steps *) +(* recusively applies [prod_and_pop] : + if [env] = $[na_1:T_1 ; na_2:T_2 ; ... ; na_n:T_n]@tlenv$ + then + [(prod_and_popl n env T l)] gives $(tlenv,(na_n:T_n)...(na_1:T_1)T,l')$ + where $l'$ is [l] lifted down [n] steps *) val prod_and_popl : int -> (name * constr) list -> constr -> (int * constr) list -> (name * constr) list * constr * (int * constr) list -(* similar to prod_and_pop, but gives [na:T]B intead of (na:T)B *) +(* similar to [prod_and_pop], but gives $[na:T]B$ intead of $(na:T)B$ *) val lam_and_pop : (name * constr) list -> constr -> (int * constr) list -> (name * constr) list * constr * (int * constr) list -(* similar to prod_and_popl but gives [nan:Tan]...[na1:Ta1]B instead of - * (nan:Tan)...(na1:Ta1)B *) +(* similar to [prod_and_popl] but gives $[na_n:T_n]...[na_1:T_1]B$ instead of + $(na_n:T_n)...(na_1:T_1)B$ *) val lam_and_popl : int -> (name * constr) list -> constr -> (int * constr) list -> (name * constr) list * constr * (int * constr) list -(* similar to lamn_and_pop but generates new names whenever the name is - * Anonymous *) +(* similar to [lamn_and_pop] but generates new names whenever the name is + [Anonymous] *) val lam_and_pop_named : (name * constr) list -> constr ->(int * constr) list ->identifier list -> (name * constr) list * constr * (int * constr) list * identifier list -(* similar to prod_and_popl but gives [nan:Tan]...[na1:Ta1]B instead of - * but it generates names whenever nai=Anonymous *) +(* similar to [prod_and_popl] but gives $[na_n:T_n]...[na_1:T_1]B$ instead of + but it generates names whenever $na_i$ = [Anonymous] *) val lam_and_popl_named : - int -> (name * constr) list -> constr -> (int * constr) list - -> (name * constr) list * constr * (int * constr) list + int -> (name * constr) list -> constr -> (int * constr) list + -> (name * constr) list * constr * (int * constr) list + (* [lambda_ize n T endpt] - * will pop off the first n products in T, then stick in endpt, - * properly lifted, and then push back the products, but as lambda- - * abstractions - *) -val lambda_ize :int ->'a oper term -> 'a oper term -> 'a oper term + will pop off the first [n] products in [T], then stick in [endpt], + properly lifted, and then push back the products, but as lambda- + abstractions *) +val lambda_ize : int ->'a oper term -> 'a oper term -> 'a oper term -(******************************************************************) -(* Flattening and unflattening of embedded applications and casts *) -(******************************************************************) -(* if c is not an AppL, it is transformed into mkAppL [| c |] *) +(*s Flattening and unflattening of embedded applications and casts. *) + +(* if [c] is not an [AppL], it is transformed into [mkAppL [| c |]] *) val ensure_appl : constr -> constr (* unflattens application lists *) @@ -452,9 +464,7 @@ val collapse_appl : constr -> constr val decomp_app : constr -> constr * constr list -(********************************************) -(* Misc functions on terms, judgments, etc *) -(********************************************) +(*s Misc functions on terms, sorts and conversion problems. *) (* Level comparison for information extraction : Prop <= Type *) val same_kind : constr -> constr -> bool @@ -467,14 +477,13 @@ val pb_equal : conv_pb -> conv_pb val sort_hdchar : sorts -> string -(***************************) -(* occurs check functions *) -(***************************) +(*s Occur check functions. *) + val occur_meta : constr -> bool val rel_vect : int -> int -> constr array -(* (occur_const (s:section_path) c) -> true if constant s occurs in c, - * false otherwise *) +(* [(occur_const (s:section_path) c)] returns [true] if constant [s] occurs + in c, [false] otherwise *) val occur_const : section_path -> constr -> bool (* strips head casts and flattens head applications *) @@ -492,10 +501,10 @@ val subst_term_eta_eq : constr -> constr -> constr val replace_consts : (section_path * (identifier list * constr) option) list -> constr -> constr -(* bl : (int,constr) Listmap.t = (int * constr) list *) -(* c : constr *) -(* for each binding (i,c_i) in bl, substitutes the metavar i by c_i in c *) -(* Raises Not_found if c contains a meta that is not in the association list *) +(* [subst_meta bl c] substitutes the metavar $i$ by $c_i$ in [c] + for each binding $(i,c_i)$ in [bl], + and raises [Not_found] if [c] contains a meta that is not in the + association list *) val subst_meta : (int * constr) list -> constr -> constr @@ -503,7 +512,8 @@ val subst_meta : (int * constr) list -> constr -> constr val matchable : constr -> constr val unmatchable: constr -> constr -(* New hash-cons functions *) + +(*s Hash-consing functions for constr. *) val hcons_constr: (section_path -> section_path) * |